110006424 has 240 divisors, whose sum is σ = 359195760. Its totient is φ = 31363200.

The previous prime is 110006423. The next prime is 110006431. The reversal of 110006424 is 424600011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110006397 and 110006406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110006423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1803354 + ... + 1803414.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 2^110006424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110006424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179597880).

110006424 is an abundant number, since it is smaller than the sum of its proper divisors (249189336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110006424 is a wasteful number, since it uses less digits than its factorization.

110006424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 110006424 is about 10488.3947294140. The cubic root of 110006424 is about 479.1513128220.

Adding to 110006424 its reverse (424600011), we get a palindrome (534606435).

It can be divided in two parts, 11000 and 6424, that added together give a square (17424 = 132²).

The spelling of 110006424 in words is "one hundred ten million, six thousand, four hundred twenty-four".